N. Kalinin

works on

convex analysis 1 curvature convergence 1 monge-ampere equation 1 point cloud approximation 1 tropical geometry 1

From the 1 of 5 linked papers with an AI index.

activity

20242026

most citedA guide to tropical modifications

3 citations · 3 across the 2 of their papers we have counts for

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

The divisor function for matrices

Tim Browning, Nikita P. Kalinin, Alina Ostafe +2

We introduce a matrix divisor function $τ_{n} (T, M)$ , counting factorisations $A B = M$ for $n \times n$ integer matrices $A, B$ of height at most $T$ . For a fixed non-singular $M$ , or for…

math.NT2024

Tropical formulae for summation over a part of SL(2, Z)

Nikita Kalinin, Mikhail Shkolnikov

Let $f (a, b, c, d) = a^{2} + b^{2} + c^{2} + d^{2} - (a + c)^{2} + (b + d)^{2}$ , let $(a, b, c, d)$ stand for $a, b, c, d \in Z_{\geq 0}$ such that $a d - b c = 1$ . Define \begin{equation} \label{…